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10142440 = 2357113789
BaseRepresentation
bin100110101100…
…001011101000
3201002021210221
4212230023220
510044024230
61001215424
7152131540
oct46541350
921067727
1010142440
1157a8190
123491574
132141659
1414c0320
15d5527a
hex9ac2e8

10142440 has 128 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 3041280.

The previous prime is 10142399. The next prime is 10142441. The reversal of 10142440 is 4424101.

It is not an unprimeable number, because it can be changed into a prime (10142441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113916 + ... + 114004.

It is an arithmetic number, because the mean of its divisors is an integer number (230850).

Almost surely, 210142440 is an apocalyptic number.

10142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

10142440 is an abundant number, since it is smaller than the sum of its proper divisors (19406360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142440 is a wasteful number, since it uses less digits than its factorization.

10142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10142440 is about 3184.7197678917. The cubic root of 10142440 is about 216.4615758160.

Adding to 10142440 its reverse (4424101), we get a palindrome (14566541).

The spelling of 10142440 in words is "ten million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 89 110 140 148 154 178 185 220 259 280 296 308 356 370 385 407 440 445 518 616 623 712 740 770 814 890 979 1036 1246 1295 1480 1540 1628 1780 1958 2035 2072 2492 2590 2849 3080 3115 3256 3293 3560 3916 4070 4895 4984 5180 5698 6230 6586 6853 7832 8140 9790 10360 11396 12460 13172 13706 14245 16280 16465 19580 22792 23051 24920 26344 27412 28490 32930 34265 36223 39160 46102 54824 56980 65860 68530 72446 92204 113960 115255 131720 137060 144892 181115 184408 230510 253561 274120 289784 362230 461020 507122 724460 922040 1014244 1267805 1448920 2028488 2535610 5071220 10142440